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I applied LLC test to employment. using aic(12.04), bic(10.58) and hqic(11.26) to choose optimal lags.
The adjusted t statistics are -20.3435, -34.1026, and -29.9841 with $p-value = 0$. 
Ho: Panels contain unit roots 
Ha: Panels are stationary

IPS test with trend/demean/maxlag 8, shows that aic(6.3), W_t_bar = -10.3669
bic(4.8), -8.6313
hqic(5.43) -8.9138
with p-value = 0.
Ho: All panels contain unit roots.
Ha: Some panels are stationary.


Hadri LM test, trend demean robust
z = 456.9743, with 0 p-value
Ho: All panels are stationary
Ha: Some panels contain unit roots


Test realwage:
LLC trend demean maxlag 14

aic(9.26) 40.1890
bic(6.29) 23.5520
hqic(7.86): adjusted t statistics 32.162, p-value = 1

IPS test:
aic(5.17) -14.8408
bic(3.07) -20.7325
hqic(4.19) -16.7536, p-value = 0

Hadri test:
z = 218.7444, p-value = 0


Test wells

LLC trend demean maxlag 14

aic(5.26) -9.1386
bic(2.96) -25.1780
hqic(3.77) -15.8254  p-value = 0

IPS test:
aic(4.23) -19.9992
bic(2.7) -41.0597
hqic(3.48) -26.5015, p-value = 0

Hadri test:
z = 226.0751, p-value = 0

Test newcap

LLC trend demean maxlag 14

aic(5.54) -1.467 p-value = 0.0712 
bic(0.08) -160 p-value = 0
hqic(5.25):-23.649, p-value = 0

IPS test:
aic(5.25) -23.6490
bic(0.03) -140
hqic(5.2) -24.9390, p-value = 0

Hadri test:
z = 105.1518, p-value = 0


kpss5\%level: 135 counties have stationary employment series
              145 counties have stationary realwage series
